Pls give the answer And solution of the following,I give the illustrative example to help.Thank You;> Combination/Problem SolvingWhat is Combination?Combination refers to the selection of objects regardless of their order. That is, changing the order of theobjects does not create a new combination.Formula for the combination of n objects taken r at a time:n!n Cr =ner20r!(n-r)!Illustrative Examples:Evaluate:а.7C2b. 12C7c. 8C4 + 10C78!10!8C4 + 10C, =7!7C2 =12!12C7 =4!(8–4)!7!(10–7)!2!(7-2)!7!(12–7)!8•7•6•5•4!+10 •9•8•7!7•6•5!7C2 =2! 5!427C2 =2%3D12•11•10•9•8•7!12C, =4!(4!)7!(3!)7! 5!12•11•10.9.812C7 =10 •9.8.7!+7!(3!)8•7•6•5•4!5.4.3•2•14!(4!)95,0407C2 = 2112C7 =8•7•6•510 •9.81204.3•2.13.2.112C7 = 792168072024= 70 + 120Learning Task A: Evaluate the following:= 190 Learning Task A: Evaluate the following:= 1901. 4C22. 10C33. 8C64. „C4 + 6C55. 6C5 • „C4

We have to find the following conditions

Combination/Problem Solving What is Combination? Combination refers to the selection of objects regardless of their order. That is, changing the order objects does not create a new combination. Formula for the combination of n objects taken r at a time: n! n Cr = n2r20 r!(n-r)! Illustrative Examples: Evaluate: a. 7C2 b. 12C, c. 8C4 + 10C7 8! 10! 7! 8C4 + 10C7 12! 7C2 12C7 = 4!(8-4)!' 7!(10-7)! 2!(7-2)! 7!(12-7)! 8•7•6•5•4! 10 •9.8.7 7•6•5! 12•11•10•9•8•7! 7C2 = 12C7 = 4!(4!) 7!(3!) 2! 5! 42 7! 5! 12•11•10.9.8 7C2 = 12C, = 8•7•6•5•4! 10 •9.8.7 5.4.3•2•1 II

Combination/Problem Solving What is Combination? Combination refers to the selection of objects regardless of their order. That is, changing the order objects does not create a new combination. Formula for the combination of n objects taken r at a time: n! n Cr = n2r20 r!(n-r)! Illustrative Examples: Evaluate: a. 7C2 b. 12C, c. 8C4 + 10C7 8! 10! 7! 8C4 + 10C7 12! 7C2 12C7 = 4!(8-4)!' 7!(10-7)! 2!(7-2)! 7!(12-7)! 8•7•6•5•4! 10 •9.8.7 7•6•5! 12•11•10•9•8•7! 7C2 = 12C7 = 4!(4!) 7!(3!) 2! 5! 42 7! 5! 12•11•10.9.8 7C2 = 12C, = 8•7•6•5•4! 10 •9.8.7 5.4.3•2•1 II

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Pls give the answer And solution of the following,I give the illustrative example to help.Thank You;>

Combination/Problem Solving
What is Combination?
Combination refers to the selection of objects regardless of their order. That is, changing the order of the
objects does not create a new combination.
Formula for the combination of n objects taken r at a time:
n!
n Cr =
ner20
r!(n-r)!
Illustrative Examples:
Evaluate:
а.
7C2
b. 12C7
c. 8C4 + 10C7
8!
10!
8C4 + 10C, =
7!
7C2 =
12!
12C7 =
4!(8–4)!
7!(10–7)!
2!(7-2)!
7!(12–7)!
8•7•6•5•4!
+
10 •9•8•7!
7•6•5!
7C2 =
2! 5!
42
7C2 =
2
%3D
12•11•10•9•8•7!
12C, =
4!(4!)
7!(3!)
7! 5!
12•11•10.9.8
12C7 =
10 •9.8.7!
+
7!(3!)
8•7•6•5•4!
5.4.3•2•1
4!(4!)
95,040
7C2 = 21
12C7 =
8•7•6•5
10 •9.8
120
4.3•2.1
3.2.1
12C7 = 792
1680
720
24
= 70 + 120
Learning Task A: Evaluate the following:
= 190

Learning Task A: Evaluate the following:
= 190
1. 4C2
2. 10C3
3. 8C6
4. „C4 + 6C5
5. 6C5 • „C4

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